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We analyze the main features of granular shear flow through experimental measurements in a Couette geometry and a comparison to a locally Newtonian, continuum model of granular flow. The model is based on earlier hydrodynamic models,…

Statistical Mechanics · Physics 2021-05-26 L. Bocquet , W. Losert , D. Schalk , T. C. Lubensky , J. P. Gollub

The Landau-Lifshitz fluctuating hydrodynamics is used to study the statistical properties of the linearized Kolmogorov flow. The relative simplicity of this flow allows a detailed analysis of the fluctuation spectrum from near equilibrium…

Condensed Matter · Physics 2009-11-07 I. Bena , M. Malek Mansour , F. Baras

Statistical features of homogeneous, isotropic, two-dimensional turbulence is discussed on the basis of a set of direct numerical simulations up to the unprecedented resolution $32768^2$. By forcing the system at intermediate scales, narrow…

Chaotic Dynamics · Physics 2015-05-19 G. Boffetta , S. Musacchio

Direct numerical simulations of the forced Navier-Stokes equations were performed, in which each shell-averaged quantity evolved from a value appropriate to an initial Gaussian state, to fluctuate about a mean value. Once the transient had…

Fluid Dynamics · Physics 2021-07-21 S. R. Yoffe , W. D. McComb

A new scale-dependent dynamic subgrid-scale (SGS) model based on Kolmogorov's scaling hypothesis is presented. This SGS model is utilized in large-eddy simulation of a well-known case study on shear-driven neutral atmospheric boundary layer…

Atmospheric and Oceanic Physics · Physics 2007-05-23 William Anderson , Sukanta Basu , Chris Letchford

A statistically stationary turbulence with a mean shear gradient is realized in a flow driven by suitable body forces. The flow domain is periodic in downstream and spanwise directions and bounded by stress free surfaces in the normal…

Chaotic Dynamics · Physics 2009-10-31 Joerg Schumacher , Bruno Eckhardt

Polymeric turbulence, flows of fluids with dilute polymer additives at high Reynolds numbers, exhibits striking deviations from the Kolmogorovean behaviour of Newtonian turbulence. Recent experiments as well as simulations have uncovered a…

Fluid Dynamics · Physics 2025-07-30 Alessandro Chiarini , Rahul K. Singh , Marco E. Rosti

We study the dimensionality of two-dimensional Kolmogorov flows over a wide range of Reynolds numbers and forcing wavenumbers $k_f=\{2,4,8\}$ using two complementary approaches: convolutional autoencoders and a Kaplan-Yorke estimation based…

Fluid Dynamics · Physics 2026-02-10 Melisa Y. Vinograd , Joaquin Cullen , Patricio Clark di Leoni

Traditional large eddy simulation is based on Kolmogrov's hypothesis, and done in the inertial range. In inertial range the LES model coefficient is scale-invariant. In many cases, such as computing in the boundary layer, the filter scale…

Fluid Dynamics · Physics 2014-08-18 Changping Yu

A phenomenological theory is proposed to analyze the asymptotic dynamics of perturbed inviscid Kolmogorov shear flows in two dimensions. The phase diagram provided by the theory is in qualitative agreement with numerical observations, which…

Fluid Dynamics · Physics 2014-06-18 Shun Ogawa , Julien Barré , Hidetoshi Morita , Yoshiyuki Y. Yamaguchi

The refined similarity hypotheses of Kolmogorov, regarded as an important ingredient of intermittent turbulence, has been tested in the past using one-dimensional data and plausible surrogates of energy dissipation. We employ data from…

Fluid Dynamics · Physics 2016-04-19 Kartik P. Iyer , Katepalli R. Sreenivasan , P. K. Yeung

Scaling and structural evolutions are contemplated in a new perspective for turbulent channel flows. The total integrated turbulence kinetic energy remains constant when normalized by the friction velocity squared, while the total…

Fluid Dynamics · Physics 2021-05-19 T. -W. Lee

Under inhomogeneous flow, dense suspensions exhibit complex behaviour that violates the conventional homogenous rheology. Specifically, one finds flowing regions with a macroscopic friction coefficient below the yielding criterion, and…

Fluid Dynamics · Physics 2020-11-04 Jurriaan J. J. Gillissen , Christopher Ness

We investigate how the pressure in fluctuating shear flow depends on the shear rate $S$ and on the system size $L$ by studying fluctuating hydrodynamics under shear conditions. We derive anomalous forms of the pressure for two limiting…

Statistical Mechanics · Physics 2009-11-07 Hirofumi Wada , Shin-ichi Sasa

Binary fluid turbulence distinguishes itself from ordinary fluid turbulence by virtue of interfacial dynamics. Whether Kolmogorov-like scaling laws also exist for binary fluid turbulence is a fundamental question to explore. Starting from…

Fluid Dynamics · Physics 2026-03-13 Nandita Pan , Supratik Banerjee

We employ molecular dynamics simulation to study the phase separation and rheological properties of a three-dimensional binary liquid mixture with hydrodynamics undergoing simple shear deformation. The impact of shear intensity on domain…

Soft Condensed Matter · Physics 2024-12-05 Daniya Davis , Parameshwaran A , Bhaskar Sen Gupta

Turbulent flows laden with inertial particles present multiple open questions and are a subject of great interest in current research. Due to their higher density compared to the carrier fluid, inertial particles tend to form high…

Fluid Dynamics · Physics 2017-02-15 Sholpan Sumbekova , Alain Cartellier , Alberto Aliseda , Mickael Bourgoin

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid…

Soft Condensed Matter · Physics 2021-04-01 Riccardo Artoni , Michele Larcher , James Jenkins , Patrick Richard

This paper concerns spectral instability of shear flows in the incompressible Navier-Stokes equations with sufficiently large Reynolds number: $R\to \infty$. It is well-documented in the physical literature, going back to Heisenberg, C.C.…

Analysis of PDEs · Mathematics 2014-02-07 Emmanuel Grenier , Yan Guo , Toan Nguyen

In stellar interiors shear flows play an important role in many physical processes. So far helioseismology provides only large-scale measurements, and so the small-scale dynamics remains insufficiently understood. To draw a connection…

Solar and Stellar Astrophysics · Physics 2016-12-01 V. Witzke , L. J. Silvers
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